Discussion
True or false: a function of two variables with a negative discriminant at a stationary point has a maximum there.
Answer: D
A negative discriminant \( f_{xx}f_{yy} - f_{xy}^{2} \) means the surface curves upward in one direction and downward in another, which is a saddle and not an extremum of any kind. A maximum needs a positive discriminant together with \( f_{xx} < 0 \), so both conditions carry weight
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development